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Number

129

129 is a composite number, odd, a calendar year.

129 (one hundred twenty-nine) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 3 × 43. Written other ways, in Roman numerals it is CXXIX and in binary, 10000001.

Arithmetic Number Ascending Digits Binary Palindrome Cube-Free Deficient Number Evil Number Happy Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

8 notable facts · grade A
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Historical context — 129 AD

Calendar year

Year 129 (CXXIX) was a common year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 129 BC

Calendar year

Year 129 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Saturday
January 1, 129
Ended on
Saturday
December 31, 129
Friday the 13ths
1
One Friday the 13th this year.
Decade
120s
120–129
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,897
1897 years before 2026.

In other calendars

Hebrew
3889 / 3890 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Earth zodiac:Snake
Sexagenary cycle position 6 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
672 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
121 / 122 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
51 / 50 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
12
Digit product
18
Digital root
3
Palindrome
No
Bit width
8 bits
Reversed
921
Recamán's sequence
a(142) = 129
Square (n²)
16,641
Cube (n³)
2,146,689
Divisor count
4
σ(n) — sum of divisors
176
φ(n) — Euler's totient
84
Sum of prime factors
46

Primality

Prime factorization: 3 × 43

Nearest primes: 127 (−2) · 131 (+2)

Divisors & multiples

All divisors (4)
1 · 3 · 43 · 129
Aliquot sum (sum of proper divisors): 47
Factor pairs (a × b = 129)
1 × 129
3 × 43
First multiples
129 · 258 (double) · 387 · 516 · 645 · 774 · 903 · 1,032 · 1,161 · 1,290

Sums & aliquot sequence

As consecutive integers: 64 + 65 42 + 43 + 44 19 + 20 + 21 + 22 + 23 + 24
Aliquot sequence: 129 47 1 0 — terminates at zero

Continued fraction of √n

√129 = [11; (2, 1, 3, 1, 6, 1, 3, 1, 2, 22)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-nine
Ordinal
129th
Roman numeral
CXXIX
Binary
10000001
Octal
201
Hexadecimal
0x81
Base64
gQ==
One's complement
126 (8-bit)
Scientific notation
1.29 × 10²
As a duration
129 s = 2 minutes, 9 seconds
In other bases
ternary (3) 11210
quaternary (4) 2001
quinary (5) 1004
senary (6) 333
septenary (7) 243
nonary (9) 153
undecimal (11) 108
duodecimal (12) a9
tridecimal (13) 9c
tetradecimal (14) 93
pentadecimal (15) 89
Palindromic in base 2, base 6

As an angle

129°
129° ≈ 2.251 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ρκθʹ
Mayan (base 20)
𝋦·𝋩
Chinese
一百二十九
Chinese (financial)
壹佰貳拾玖
In other modern scripts
Eastern Arabic ١٢٩ Devanagari १२९ Bengali ১২৯ Tamil ௧௨௯ Thai ๑๒๙ Tibetan ༡༢༩ Khmer ១២៩ Lao ໑໒໙ Burmese ၁၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 129 = 0
e — Euler's number (e)
Digit 129 = 9
φ — Golden ratio (φ)
Digit 129 = 6
√2 — Pythagoras's (√2)
Digit 129 = 5
ln 2 — Natural log of 2
Digit 129 = 3
γ — Euler-Mascheroni (γ)
Digit 129 = 1

Also seen as

Unicode codepoint

U+0081
Control character (Cc)

UTF-8 encoding: C2 81 (2 bytes).

Hex color
#000081
RGB(0, 0, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.129.

Address
0.0.0.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.129

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 129 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C3 (130.8 Hz, -24¢)
  • Scientific pitch (C4 = 256 Hz): C3 (128 Hz, +13¢)
  • Baroque pitch (A4 = 415 Hz): C♯3 (130.7 Hz, -23¢)
Food additive (E-number)

On an ingredients label, E129 is Allura Red AC, a food colour.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.